solve these problems

2. Determine algebraically if the function is an even function, odd function, or neither. a. f(:1;) : 3 3:2 + 53:4 b. f(:v) : 3:35 + m3 1 c. 9(3)) : 4a: 33:3 + :35 3. Are the following statements true or false? a. An even polynomial function must be an even degree polynomial function. b. An odd degree polynomial function must be an odd function. C. An even polynomial function must have an even number of m-intercepts. d. An odd polynomial function must have an odd number of m-intercepts. 6. An odd polynomial function must have an odd number of turning points. f. An odd polynomial function must pass through the origin. 4. a. Sketch the graph of y : %a:(:v 4)2(:v + 4)2. b. From your sketch, is it possible to determine if the function is even, odd, or neither? Explain. c. Determine, algebraically, if y : 2:v(:v 4)2(a: + 4)2 is even, odd, or neither